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3429720 = 2332571361
BaseRepresentation
bin1101000101010101011000
320110020200200
431011111120
51334222340
6201302200
741103120
oct15052530
96406620
103429720
111a32888
121194960
13931128
14653c80
1547b330
hex345558

3429720 has 96 divisors (see below), whose sum is σ = 12748320. Its totient is φ = 783360.

The previous prime is 3429703. The next prime is 3429721. The reversal of 3429720 is 279243.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3429721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1840 + ... + 3200.

It is an arithmetic number, because the mean of its divisors is an integer number (132795).

Almost surely, 23429720 is an apocalyptic number.

3429720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3429720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374160).

3429720 is an abundant number, since it is smaller than the sum of its proper divisors (9318600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3429720 is a wasteful number, since it uses less digits than its factorization.

3429720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3429720 is about 1851.9503233078. The cubic root of 3429720 is about 150.8063245054.

The spelling of 3429720 in words is "three million, four hundred twenty-nine thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 1361 2520 2722 4083 5444 6805 8166 9527 10888 12249 13610 16332 19054 20415 24498 27220 28581 32664 38108 40830 47635 48996 54440 57162 61245 76216 81660 85743 95270 97992 114324 122490 142905 163320 171486 190540 228648 244980 285810 342972 381080 428715 489960 571620 685944 857430 1143240 1714860 3429720